Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity

Abstract

We study a bi-parametric family of dilaton gravity models with constant and negative curvature. This family includes the Jackiw-Teitelboim gravity and the Liouville gravity model induced by a bosonic string. Furthermore, this family is conformally equivalent to the hiperbolic dilaton models. We propose boundary conditions in the Fefferman-Graham and in the Eddington-Finkelstein gauge. We check the consistency of the asymptotic conditions by computing the entropy of their black hole solution.

arXiv comment14 pages. v3: typos corrected, references added, modifications on the introduction and final remarks section

References in corpus (40)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Evanescent Black Holes
• Chaos in AdS${}_2$ holography
• Dilaton Gravity in Two Dimensions
• Poisson Structure Induced (Topological) Field Theories
• AdS2 Quantum Gravity and String Theory
• Observables for Two-Dimensional Black Holes
• The Schwarzian Theory - Origins
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Entropy of 2D black holes from counting microstates
• Liouville quantum gravity -- holography, JT and matrices
• AdS${}_2$ Holographic Dictionary
• AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy
• On the Completeness of the Black Hole Singularity in 2d Dilaton Theories
• Menagerie of AdS${}_2$ boundary conditions
• Flat space holography and complex SYK
• Nearly AdS2 Sugra and the Super-Schwarzian
• Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
• Limits of JT gravity
• Dilaton-gravity, deformations of the minimal string, and matrix models
• New boundary conditions for AdS${}_2$
• Conservation and Integrability in Lower-Dimensional Gravity
• Towards a bulk description of higher spin SYK
• Matrix Models and Deformations of JT Gravity
• AdS_2 Supergravity and Superconformal Quantum Mechanics
• Comments on 2D dilaton gravity system with a hyperbolic dilaton potential
• Boundary theories for dilaton supergravity in 2D
• Deformations of the Almheiri-Polchinski model
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Flat JT Gravity and the BMS-Schwarzian
• Degenerate operators in JT and Liouville (super)gravity
• Weyl transformation and regular solutions in a deformed Jackiw-Teitelboim model
• Asymptotic Isometry and Two Dimensional Anti-de Sitter Gravity
• Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space
• $Ad{S}_2$ holography is (non-)trivial for (non-)constant dilaton
• 2D holography beyond the Jackiw-Teitelboim model
• Flat space holography in spin-2 extended dilaton-gravity
• On the Liouville 2D dilaton gravity models with sinh-Gordon matter
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities